Calculate Spring Constant and Force for Compression

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SUMMARY

The discussion focuses on calculating the spring constant and the force required for compression of a spring that stores 25J of energy when compressed by 7.5cm. To find the spring constant (k), the formula E = 0.5 * k * x² is utilized, where E is the energy and x is the compression distance. The force exerted during compression is calculated using Hooke's Law, F = kx, where k is the spring constant derived from part (a) and x is the compression distance.

PREREQUISITES
  • Understanding of Hooke's Law
  • Familiarity with energy storage in springs
  • Knowledge of basic algebra for solving equations
  • Concept of spring constant in physics
NEXT STEPS
  • Study the derivation of the spring constant formula E = 0.5 * k * x²
  • Learn about Hooke's Law and its applications in mechanical systems
  • Explore energy conservation principles in elastic potential energy
  • Investigate real-world applications of spring constants in engineering
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Physics students, mechanical engineers, and anyone interested in understanding the mechanics of springs and energy storage systems.

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A spring constant stores 25J of energy when compressed by 7.5cm
a) Find the spring constant
b) Find the force to compress the distance
 
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For part (a), you'll need to know the equations to find the spring constant based off of the energy [E] that is exerted to move it the distance [x] it moves, which is also equal to its amplitude [A].

For (b), the force exerted can be found by using the spring constant value you found in (a) and muliplying it by the distance it is compressed.
F_{x} = - kx
 

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